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首页> 外文期刊>Acta Mechanica >Natural frequency veering and mode localization caused by straight through-cracks in rectangular plates with elastic boundary conditions
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Natural frequency veering and mode localization caused by straight through-cracks in rectangular plates with elastic boundary conditions

机译：具有弹性边界条件的矩形板直流裂缝引起的固有频率转向和模式定位

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摘要

A solution method is presented for vibration analysis of through-cracked rectangular plates. A domain decomposition technique is employed in combination with a set of admissible functions which were previously proposed for triangular and rectangular plates with elastic boundary conditions. The continuity conditions at interconnecting boundaries of the subdomains are enforced by translational and rotational springs with zero or infinite stiffness. The Rayleigh-Ritz method is employed to determine the generalized coordinates and the corresponding modal frequencies and shapes. This special set of admissible functions allows all the involved integrals to be calculated analytically in closed form. Numerical examples are presented for plates with various crack configurations and boundary conditions. The current results are compared with those available in the literature to verify their convergence and correctness. The main advantage of the proposed method lies in its applicability to various combinations of boundary conditions and crack configurations. This method is then employed to determine the modal characteristics of simply supported square plates by focusing on the effects of various crack parameters on frequency veering, mode splitting, and mode localization. Finally, experiments are reported for three rectangular plates with different cracks for validation.
机译：提出了一种解决方案方法，用于通过裂纹矩形板的振动分析。域分解技术与一组可允许的功能组合使用，该允许功能先前提出了具有弹性边界条件的三角形和矩形板。通过具有零或无限刚度的平移和旋转弹簧来强制执行子域的互连边界的连续性条件。使用Rayleigh -Ritz方法来确定广义坐标和相应的模态频率和形状。这组特殊的可接受功能允许在封闭形式中分析计算所有涉及的积分。向具有各种裂纹构造和边界条件的平板提出了数值例子。将当前结果与文献中可用的结果进行比较，以验证它们的收敛性和正确性。所提出的方法的主要优点在于其适用于边界条件和裂纹配置的各种组合。然后采用该方法来确定简单地支撑的方形板的模态特性通过聚焦各种裂缝参数对频率转乘，模式分裂和模式定位的影响。最后，报道了三个具有不同裂缝的三个矩形板进行实验进行验证。

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  • 来源
    《Acta Mechanica》 |2018年第10期|共15页
  • 作者

    Huang Tianming; Lu Huancai; McFarland D. Michael; Li Wen L.; Tan Chin An; Bergman Lawrence A.; Gong Jian;

  • 作者单位

    Zhejiang Univ Technol Coll Mech Engn Sound &

    Vibrat Lab 18 Chaowang Rd Hangzhou 310014 Zhejiang Peoples R China;

    Zhejiang Univ Technol Coll Mech Engn Sound &

    Vibrat Lab 18 Chaowang Rd Hangzhou 310014 Zhejiang Peoples R China;

    Zhejiang Univ Technol Coll Mech Engn Sound &

    Vibrat Lab 18 Chaowang Rd Hangzhou 310014 Zhejiang Peoples R China;

    Adv Informat Serv 98 Huiming Rd Ningbo 315500 Zhejiang Peoples R China;

    Wayne State Univ Dept Mech Engn 5050 Anthony Wayne Dr Detroit MI 48202 USA;

    Univ Illinois Dept Aerosp Engn 104 South Wright St Urbana IL 61801 USA;

    Zhejiang Univ Technol Coll Mech Engn Sound &

    Vibrat Lab 18 Chaowang Rd Hangzhou 310014 Zhejiang Peoples R China;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 力学;
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